Find the LCM of 939, 260, 459, 591, 815 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 939, 260, 459, 591, 815. So, keep reading to learn more.
Given numbers are 939,260,459,591,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,260,459,591,815 is 1199455669620.
Find LCM of 939,260,459,591,815 with Prime Factorization
3 | 939, 260, 459, 591, 815 |
5 | 313, 260, 153, 197, 815 |
313, 52, 153, 197, 163 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 313 x 52 x 153 x 197 x 163 = 1199455669620
Therefore, the lowest common multiple of 939,260,459,591,815 is 1199455669620.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
939 x 260 x 459 x 591 x 815 = 53975505132900
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
939 : 1, 3, 313, 939
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
459 : 1, 3, 9, 17, 27, 51, 153, 459
591 : 1, 3, 197, 591
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,260,459,591,815, is 1.
Now, the common factors can be found like this.
939:3x 313
260:2x 2x 5x 13
459:3x 3x 3x 17
591:3x 197
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 53975505132900/(1x45)
LCM = 53975505132900/45
LCM = 1199455669620
Thus, we can understand that the LCM of 939,260,459,591,815 is 1199455669620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 260, 459, 591, 815?
Answer: LCM of 939, 260, 459, 591, 815 is 1199455669620.
2. How to calculate the LCM of 939, 260, 459, 591, 815?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 939, 260, 459, 591, 815.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.